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jonny [76]
3 years ago
12

What is the correct classification of the system of equations below? 5x + 6y = 1 y = -5x + 6 A. parallel B. coincident C. inters

ecting
Mathematics
1 answer:
babymother [125]3 years ago
7 0

Answer: OPTION C.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the system  of equations:

\left \{ {{5x + 6y = 1} \atop {y = -5x + 6}} \right.

Solve for "y" from the first equation in order to write it in Slope-Intercept form:

5x + 6y = 1\\\\6y=-5x+1\\\\y=-\frac{5}{6}x+\frac{1}{6}

Since the lines have different slopes, they cannot be parallel or coincident. Therefore, they are Intersecting.

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Answer:

more ... The same shape and size, but we are allowed to flip, slide or turn. In this example the shapes are congruent (you only need to flip one over and move it a little). Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.

Step-by-step explanation:

happy to help ya:)

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